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Beliebt Algebra >

-2(9x^2-49)(x^2-5)=0

Lösung

- 2 (9 x^{2} - 49) (x^{2} - 5) = 0

Lösung

x = - \frac{7}{3}, x = \frac{7}{3}, x = - 5, x = 5

+1

Dezimale

x = - 2.33333 \dots, x = 2.33333 \dots, x = - 2.23606 \dots, x = 2.23606 \dots

Schritte zur Lösung

- 2 (9 x^{2} - 49) (x^{2} - 5) = 0

Faktorisiere

- 2 (9 x^{2} - 49) (x^{2} - 5) : - 2 (3 x + 7) (3 x - 7) (x + 5) (x - 5)

- 2 (3 x + 7) (3 x - 7) (x + 5) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 7 = 0 or 3 x - 7 = 0 or x + 5 = 0 or x - 5 = 0

Löse

3 x + 7 = 0 : x = - \frac{7}{3}

Löse

3 x - 7 = 0 : x = \frac{7}{3}

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = - \frac{7}{3}, x = \frac{7}{3}, x = - 5, x = 5

Graph

Beliebte Beispiele

x^4-7x^3+12x^2+4x-16=0

x^{4} - 7 x^{3} + 12 x^{2} + 4 x - 16 = 0

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- 9 x^{4} - 46 x^{2} + 5 = 0

2 x^{3} + 1 = x^{2} + 2 x

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